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On a necessary condition for stability in perturbed linear and convex programming. (English) Zbl 0643.90068

Summary: We show that a necessary condition for stable perturbations in linear and convex programming is valid on an arbitrary region of stability. Using point-to-set mappings, two new regions of stability are identified.

MSC:

90C25 Convex programming
90C05 Linear programming
90C31 Sensitivity, stability, parametric optimization
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[1] Bracken J, Calkin J, Sanders J, Thesen A (1985) A strategy for adaptive staffing of hospitals under varing environmental conditions. Health Care Management Review 41
[2] Friss L (1982) Hospital nurse staffing: an urgent need of management reappraisal. Health Care Management Review 21
[3] Gavish B, Shlifer E (1979) An approach for solving a class of transportation scheduling problems. European Journal of Operations Research 3:122 · Zbl 0392.90055 · doi:10.1016/0377-2217(79)90098-5
[4] Hancock WM, Fuhs PA (1984) The relationship between nurse staffing policies and nursing budgets. Health Care Management Review 21
[5] Khan R (1979) A capacitated network formulation for manpower scheduling. Industrial Management 21/6:24
[6] Khan R (1981) A network flow algorithm for optimal resource allocation. International Journal of Production Research 19/5:515 · doi:10.1080/00207548108956682
[7] Liefman LJ (1978) Estimation of resource requirements in optimation problems of network planning. European Journal of Operations Research 2/4:265 · Zbl 0378.90096 · doi:10.1016/0377-2217(78)90042-5
[8] McLean TJ (1977) Stochastic analysis of hospital patient flow. American Institute of Industrial Engineers, 1977 Spring Annual Conference Proceedings, pp 305
[9] Morrisey MA (1984) The composition of hospital medical staffs. Health Care Management Review 11
[10] O’Donovan TR, Bridenstine TP (1983) The handmaiden revolt – the nursing staff crisis. Health Care Management Review 75
[11] Ratliff HD (1978) Network models for production scheduling problems with convex cost and batch processing. AIIE Transactions 10/1:104
[12] Shapiro RJ, Glandon GL (1984) Medical staff planning: an approach to managing critical hospital assets. Health Care Management Review 27
[13] Trivedi VM (1984) Substitution among nurse: its impact on charge nurses’ perceptions of quality of care. Health Care Management Review 59
[14] Wright JW (1975) Reallocation of housing by use of network analysis. Operations Research Quarterly 26/2i:253 · doi:10.1057/jors.1975.59
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